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Finding the Fourth Proportional to 23,592.38, 32,557.71 and 12,982.24

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Solution

The fourth proportional to 23,592.38, 32,557.71 and 12,982.24 is: 17,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592.38 : 32,557.71 = 12,982.24 : x
  2. Step 2: Convert to fraction form
    23,592.38/32,557.71 = 12,982.24/x
  3. Step 3: Cross multiply
    23,592.38x = 32,557.71 × 12,982.24
  4. Step 4: Simplify right side
    23,592.38x = 422,671,923.68
  5. Step 5: Solve for x
    x = 422,671,923.68/23,592.38
  6. Step 6: Final answer
    x = 17,915.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.